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A053805
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Expansion of (1 + x)^12 / (1 - x)^13.
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2
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1, 25, 313, 2625, 16641, 85305, 369305, 1392065, 4673345, 14218905, 39753273, 103274625, 251595969, 579168825, 1267854873, 2653649025, 5334940545, 10343052825, 19403906105, 35330137025, 62596382081, 108167252025, 182668423833, 302016962625, 489658242241
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OFFSET
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0,2
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COMMENTS
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This is row/column 12 of the Delannoy numbers array, A008288, which is the main entry for these numbers, listing many more properties. - Peter Munn, Jan 05 2023
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).
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FORMULA
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G.f.: (1+x)^12/(1-x)^13.
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MATHEMATICA
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CoefficientList[Series[(1 + x)^12/(1 - x)^13, {x, 0, 30}], x] (* [Bruno Berselli, Apr 17 2014 *)
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PROG
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(Magma) m:=30; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!((1+x)^12/(1-x)^13)); // Bruno Berselli, Apr 17 2014
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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